Abstract
In this paper we consider the problem of controller synthesis for timed games under imperfect information. Novel to our approach is the requirements to strategies: they should be based on a finite collection of observations and must be stuttering invariant in the sense that repeated identical observations will not change the strategy. We provide a constructive transformation to equivalent finite games with perfect information, giving decidability as well as allowing for an efficient on-the-fly forward algorithm. We report on application of an initial experimental implementation.
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References
Altisen, K., Tripakis, S.: Tools for controller synthesis of timed systems. In: Proc. 2nd Work. on Real-Time Tools (RT-TOOLS 2002), Proc. published as Technical Report 2002-025, Uppsala University, Sweden (2002)
Alur, R., Dill, D.: A theory of timed automata. Theoretical Computer Science 126(2), 183–235 (1994)
Asarin, E., Maler, O.: As Soon as Possible: Time Optimal Control for Timed Automata. In: Vaandrager, F.W., van Schuppen, J.H. (eds.) HSCC 1999. LNCS, vol. 1569, pp. 19–30. Springer, Heidelberg (1999)
Asarin, E., Maler, O., Pnueli, A., Sifakis, J.: Controller Synthesis for Timed Automata. In: Proc. IFAC Symp. on System Structure & Control, pp. 469–474. Elsevier Science, Amsterdam (1998)
Behrmann, G., Cougnard, A., David, A., Fleury, E., Larsen, K., Lime, D.: Uppaal-tiga: Time for playing games! In: Damm, W., Herrmanns, H. (eds.) CAV 2007. LNCS, vol. 4590, pp. 121–125. Springer, Heidelberg (2007)
Behrmann, G., David, A., Larsen, K.G.: A tutorial on uppaal. In: Bernardo, M., Corradini, F. (eds.) SFM. LNCS, vol. 3185, pp. 200–236. Springer, Heidelberg (2004)
Behrmann, G., David, A., Larsen, K.G., Håkansson, J., Pettersson, P., Yi, W., Hendriks, M.: Uppaal 4.0. In: QEST, pp. 125–126. IEEE Computer Society Press, Los Alamitos (2006)
Bouyer, P., D’Souza, D., Madhusudan, P., Petit, A.: Timed control with partial observability. In: Hunt Jr., W.A., Somenzi, F. (eds.) CAV 2003. LNCS, vol. 2725, pp. 180–192. Springer, Heidelberg (2003)
Cassez, F., David, A., Fleury, E., Larsen, K., Lime, D.: Efficient on-the-fly algorithms for the analysis of timed games. In: Abadi, M., de Alfaro, L. (eds.) CONCUR 2005. LNCS, vol. 3653, pp. 66–80. Springer, Heidelberg (2005)
Chatterjee, K., Doyen, L., Henzinger, T.A., Raskin, J.-F.: Algorithms for omega-regular games with imperfect information. In: Ésik, Z. (ed.) CSL 2006. LNCS, vol. 4207, pp. 287–302. Springer, Heidelberg (2006)
Dill, D.: Timing Assumptions and Verification of Finite-State Concurrent Systems. In: Sifakis, J. (ed.) Workshop on Automatic Verification Methods for Finite-State Systems. LNCS, vol. 407, pp. 197–212. Springer, Heidelberg (1990)
Laroussinie, F., Larsen, K.G.: CMC: A tool for compositional model-checking of real-time systems. In: Budkowski, S., Cavalli, A.R., Najm, E. (eds.) Proc. of IFIP TC6 WG6.1 Joint Int. Conf. FORTE’XI and PSTV’XVIII. IFIP Conf. Proc, vol. 135, pp. 439–456. Kluwer Academic Publishers, Dordrecht (1998)
Laroussinie, F., Larsen, K.G., Weise, C.: From timed automata to logic - and back. In: Hájek, P., Wiedermann, J. (eds.) MFCS 1995. LNCS, vol. 969, pp. 529–539. Springer, Heidelberg (1995)
Larsen, K., Pettersson, P., Yi, W.: Model-checking for real-time systems. Fundamentals of Computation Theory, 62–88 (1995)
Maler, O., Pnueli, A., Sifakis, J.: On the synthesis of discrete controllers for timed systems. In: Mayr, E.W., Puech, C. (eds.) STACS 1995. LNCS, vol. 900, pp. 229–242. Springer, Heidelberg (1995)
Tripakis, S., Altisen, K.: On-the-Fly Controller Synthesis for Discrete and Timed Systems. In: Wing, J.M., Woodcock, J.C.P., Davies, J. (eds.) FM 1999. LNCS, vol. 1708, pp. 233–252. Springer, Heidelberg (1999)
Wulf, M.D., Doyen, L., Raskin, J.-F.: A lattice theory for solving games of imperfect information. In: Hespanha, J.P., Tiwari, A. (eds.) HSCC 2006. LNCS, vol. 3927, pp. 153–168. Springer, Heidelberg (2006)
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Cassez, F., David, A., Larsen, K.G., Lime, D., Raskin, JF. (2007). Timed Control with Observation Based and Stuttering Invariant Strategies. In: Namjoshi, K.S., Yoneda, T., Higashino, T., Okamura, Y. (eds) Automated Technology for Verification and Analysis. ATVA 2007. Lecture Notes in Computer Science, vol 4762. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75596-8_15
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DOI: https://doi.org/10.1007/978-3-540-75596-8_15
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